Abstract: A multi-layered anti-reflection coating for use with a plastic substrate is provided. The coating consists of four layers and has high durability. The first layer furthest from the substrate is made of SiO.sub.2 ; the second layer is made of a mixture of ZrO.sub.2 and TiO.sub.2 ; the third layer is made of ZrO.sub.2 ; and the fourth layer is made of SiO or SiO.sub.2. The optical thicknesses of the first to third layers are about 0.25.lambda. with respect to a design wavelength .lambda., respectively. However the optical thickness of the fourth layer is greater than that of the respective first to third layers and selected between 0.5.lambda. to 2.0.lambda..